75934320 has 240 divisors, whose sum is σ = 299230848. Its totient is φ = 15751680.

The previous prime is 75934307. The next prime is 75934321. The reversal of 75934320 is 2343957.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75934321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129067 + ... + 129653.

Almost surely, 2^75934320 is an apocalyptic number.

75934320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75934320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149615424).

75934320 is an abundant number, since it is smaller than the sum of its proper divisors (223296528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

75934320 is a wasteful number, since it uses less digits than its factorization.

75934320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 75934320 is about 8714.0300665077. The cubic root of 75934320 is about 423.4603018136.

The spelling of 75934320 in words is "seventy-five million, nine hundred thirty-four thousand, three hundred twenty".